Question

PLEASE ANSWER ASAP
If the measure of UV is 84°, what is the measure of YUV? (SEE PICTURE)

Answer 1

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Answer 2

Option A. 42°

Explanation:

It is given in the question line segment XY is tangent to the circle Z at point U.

The measure of arc UV = 84° and we have to find the value of ∠YUV.

From tangent and chord theorem we know that measurement of the angle between tangent and chord is half of the measurement of the intercepted arc.

Therefore ∠YUV = (84°) ÷ 2 = 42°

Answer is Option A.42°